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GATE 2022 ES – Question 63

Solid and Hazardous Waste Management · Municipal Solid Waste Management · 2 marks · Numerical answer

A centrifuge treats1000 L/h water containing2 g/L suspended solids. It captures99% of solids into slurry at 20 g per 100 mL. Find supernatant flow in L/h, to one decimal.

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Correct answer: 989.0 to 991.0

Explanation

Feed solids=2000 g/h;captured solids=.99(2000)=1980 g/h. Slurry concentration=200 g/L, so slurry flow=1980/200=9.9 L/h. Liquid-volume balance gives supernatant=1000−9.9=**990.1 L/h**,assuming additive stream volumes. The remaining20 g/h solids leave in this supernatant.

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